文章基本信息

标题：On the Weierstrass Preparation Theorem with Applications to the Asymptotic Analysis of Characteristics Roots of Time-Delay Systems.
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作者：F. Méndez-Barrios ; S.-I. Niculescu ; J. Chen 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：12
页码：251-256
DOI：10.1016/j.ifacol.2015.09.386
语种：English
出版社：Elsevier
摘要：This paper proposes an algorithmic approach to construct the Weierstrass Polynomial associated to the multiple characteristic roots of a time-delay system. Such a Weierstrass polynomial is employed as a tool to analize the stability behaviour of the characteristic roots with respect to small variations on the delay parameter. The proposed results are illustrated by considering several numerical examples encountered in the control literature.
关键词：Weierstrass PolynomialPuiseux seriesNewton-diagramcrossing directions